Research on meme transmission based on individual heterogeneity

Jun Zhai; Bilin Xu; Jun Zhai; Bilin Xu

doi:10.3934/mbe.2021263

Mathematical Biosciences and Engineering

2021, Volume 18, Issue 5: 5176-5193. doi: 10.3934/mbe.2021263

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Research on meme transmission based on individual heterogeneity

Jun Zhai ^,,
Bilin Xu

Research Center of Complex Network System and Innovation, Tianjin University of Finance and Economics, China

Received: 10 February 2021 Accepted: 04 June 2021 Published: 09 June 2021

Meme transmission has become an important way of information dissemination. Three transfer paths were added to the classic infectious disease storehouse model in this study based on characteristics of meme transmission. Individual heterogeneity factors such as individual interest, risk perception and trust perception were used to construct a meme transmission model named Individual Heterogeneity SEIR (IHSEIR) model. Equilibrium of the model and the basic reproduction number were obtained using mean-field theory. Effects of individual heterogeneity factors on meme propagation were analyzed through Multi-Agent simulation. The findings showed that individual interest has a significant effect on the propagation range and speed of meme. A low-level overall trust of the system was correlated with higher risk perception among individuals, which is not conducive for the propagation of meme. Effect of regulation and intervention in the process of meme transmission was significantly lower compared with that at the initial state of transmission.
- meme transmission,
- SEIR model,
- individual heterogeneity
Citation: Jun Zhai, Bilin Xu. Research on meme transmission based on individual heterogeneity[J]. Mathematical Biosciences and Engineering, 2021, 18(5): 5176-5193. doi: 10.3934/mbe.2021263

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Abstract

Meme transmission has become an important way of information dissemination. Three transfer paths were added to the classic infectious disease storehouse model in this study based on characteristics of meme transmission. Individual heterogeneity factors such as individual interest, risk perception and trust perception were used to construct a meme transmission model named Individual Heterogeneity SEIR (IHSEIR) model. Equilibrium of the model and the basic reproduction number were obtained using mean-field theory. Effects of individual heterogeneity factors on meme propagation were analyzed through Multi-Agent simulation. The findings showed that individual interest has a significant effect on the propagation range and speed of meme. A low-level overall trust of the system was correlated with higher risk perception among individuals, which is not conducive for the propagation of meme. Effect of regulation and intervention in the process of meme transmission was significantly lower compared with that at the initial state of transmission.

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